Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically ...
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Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically unramified rings, the conductor, field separability, valuations, Rees algebras, Rees valuations, reductions, multiplicity, mixed multiplicity, joint reductions, the Brian???on-Skoda theorem, Zariski's theory of integrally closed ideals in two-dimensional regular local rings, computational aspects, adjoints of ideals and normal homomorphisms. With many worked examples and exercises, this book will provide graduate students and researchers in commutative algebra or ring theory with an approachable introduction leading into the current literature.
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Add this copy of Integral Closure of Ideals, Rings, and Modules to cart. $107.37, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2006 by Cambridge University Press.
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New. Trade paperback (US). 448 p. London Mathematical Society Lecture Note Series . Worked examples or Exercises; 6 Line drawings, unspecified. Intended for professional and scholarly audience.
Add this copy of Integral Closure of Ideals, Rings, and Modules to cart. $112.73, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2006 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings, Unspecified. London Mathematical Society Lecture Note Series . 6 b/w illus. 346 exercises. Intended for professional and scholarly audience.
Add this copy of Integral Closure of Ideals, Rings, and Modules to cart. $118.85, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2006 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings, Unspecified. London Mathematical Society Lecture Note Series . 6 b/w illus. 346 exercises. Intended for professional and scholarly audience.
